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Popular >

integral of 2x+1

Solution

\int 2 x + 1 d x

Solution

x^{2} + x + C

Solution steps

\int 2 x + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 x d x + \int 1 d x

\int 2 x d x = x^{2}

\int 1 d x = x

= x^{2} + x

Add a constant to the solution

= x^{2} + x + C

Popular Examples

integral of x^2sqrt(x^{3+1)}

\int x^{2} x^{3 + 1} d x

limit as x approaches-1 of (x-1)/(x^1-1)

x \to - 1 lim (\frac{x - 1}{x ^{1} - 1})

integral of (x^3+x-2)/(x^4+2x^3+3x^2)

\int \frac{x ^{3} + x - 2}{x ^{4} + 2 x ^{3} + 3 x ^{2}} d x

tangent of (x^2+y^2)^2=4x^2y,(-1,1)tangent of

(x^{2} + y^{2})^{2} = 4 x^{2} y, (- 1, 1)

integral from 1 to 10 of (sqrt(x^2-1))/x

\int_{1}^{10} \frac{x ^{2} - 1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 2x+1 ?
The integral of 2x+1 is x^2+x+C